Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 735, 695, 49, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 735, 695, 49, 537 is 1
GCD(735, 695, 49, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 735, 695, 49, 537 is 1
GCD(735, 695, 49, 537) = 1
Given Input numbers are 735, 695, 49, 537
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 735, 695, 49, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 695, 49, 537 is 1.
Therefore, GCD of numbers 735, 695, 49, 537 is 1
Given Input Data is 735, 695, 49, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 695 is 5 x 139
Prime Factorization of 49 is 7 x 7
Prime Factorization of 537 is 3 x 179
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(735, 695) = 102165
GCD(735, 695) = ( 735 x 695 ) / 102165
GCD(735, 695) = 510825 / 102165
GCD(735, 695) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 49) = 245
GCD(5, 49) = ( 5 x 49 ) / 245
GCD(5, 49) = 245 / 245
GCD(5, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
GCD of 735, 695, 49, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 735, 695, 49, 537?
GCD of 735, 695, 49, 537 is 1
2. Where do I get the detailed procedure to find GCD of 735, 695, 49, 537?
You can find a detailed procedure to find GCD of 735, 695, 49, 537 on our page.
3. How to find GCD of 735, 695, 49, 537 on a calculator?
You can find the GCD of 735, 695, 49, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.